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Finding the Fourth Proportional to 2,646.60, 3,652.01 and 1,637.84

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Solution

The fourth proportional to 2,646.60, 3,652.01 and 1,637.84 is: 2,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.60 : 3,652.01 = 1,637.84 : x
  2. Step 2: Convert to fraction form
    2,646.60/3,652.01 = 1,637.84/x
  3. Step 3: Cross multiply
    2,646.60x = 3,652.01 × 1,637.84
  4. Step 4: Simplify right side
    2,646.60x = 5,981,415.61
  5. Step 5: Solve for x
    x = 5,981,415.61/2,646.60
  6. Step 6: Final answer
    x = 2,260.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.